Collapsing along monotone poset maps

DOI10.1155/IJMMS/2006/79858zbMath1179.06003arXivmath/0503416OpenAlexW2065627720MaRDI QIDQ2468979

Dmitry N. Kozlov

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503416

zbMATH Keywords

simplicial complexpartially ordered setcollapsingnervenon-evasive reduction

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial aspects of simplicial complexes (05E45)

Related Items

Closure maps on regular trisps ⋮ Linear colorings of simplicial complexes and collapsing ⋮ Stiefel manifolds and coloring the pentagon ⋮ Fundamental Groupoids for Graphs ⋮ The universality of Hom complexes of graphs ⋮ Simple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes ⋮ A homotopy category for graphs ⋮ Hom complexes and homotopy theory in the category of graphs ⋮ One-point reductions of finite spaces, \(h\)-regular CW-complexes and collapsibility

Cites Work

• A combinatorial technique for simplicial complexes and some applications to finite groups
• A topological approach to evasiveness
• Morse theory for cell complexes
• Constructions preserving evasiveness and collapsibility
• Complexes of graph homomorphisms
• Möbius inversion in lattices
• A simple proof for folds on both sides in complexes of graph homomorphisms
• Order complexes of noncomplemented lattices are nonevasive
• Topological obstructions to graph colorings
• Morse theory and evasiveness
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